Question

Solve for x and y
3x + 2y = 4xy
5x + 4y = 3xy

Answer 1

3x + 2y = 4xy

5x + 4y = 3xy

✓ (3x + 2y)/xy = 4

(5x + 4y)/xy = 3

therefore, 3/y + 2/x = 4

5/y + 2/x = 3

let 1/x = a &. 1/y = b

so, 2(3a + 2b = 4)

- (5a + 4b = 3)

= a = 5

similarly, by substituting the value of a..you will get b = -4.5

therefore, 1/x = 5. so, x = 1/5

1/y = -4.5 . so, y = -1/4.5